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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-29/8, b>=a > For fixed z and a=-29/8, b=37/8





http://functions.wolfram.com/07.23.03.bh4a.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 37/8, -(11/2), z] == (1/(45056 (-1 + z)^6)) ((45056 - 145664 z + 110880 z^2 + 25251 z^3 + 20235 z^4 + 27753 z^5 + 110353 z^6 - 660280 z^7 + 908208 z^8 - 516800 z^9 + 108800 z^10) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (Sqrt[z] (33792 - 114176 z + 96012 z^2 + 14571 z^3 + 10255 z^4 + 15561 z^5 + 355017 z^6 - 1056584 z^7 + 1153008 z^8 - 571200 z^9 + 108800 z^10) Sin[(3 ArcSin[Sqrt[z]])/4]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02